边缘检测是数字图象处理中一种重要的处理手段，目前普遍采用的方法是基于直角坐标系下的Laplacian算子，取其零交叉位置来检测。而现实中，往往可见到许多曲面上的图象，比如柱面贴图，球面贴图，动态景物的数字化效果以及三维医学图象，结合深度信息采用基于微分几何曲线坐标系下的算子进行图象边缘检测及滤波是一种新的尝试，从结果可以看到，处理效果明显优于普通的方法。

This paper put forward a method of image edge detection and filtration on the curve coordinate system by the use of operator on the curve coordinate system.Edge detection is a important process in image processing, currently the popular method firstly to be used is the Laplacian operator on the Cartesian coordinate system, then the zero-crossing of the Laplacian operator can be found as edge point; image filtration is the convolution result of the differential operator on the Cartesian coordinate system too. It is not fit to deal with many images painted on surfaces such as cylindrical map image, spherical map image,digital effects for motion pictures and medical regime on three dimensional scans of organs. We make use of the differential operator on the curve coordinate system for processing images on surfaces. The practical numerical experiment results showed that differential operator on the curve coordinate system is capability for processing images on surfaces.